Table of 99edo intervals: Difference between revisions
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add some previously missing ratios one may want to use |
m swap these columns since the sharp extension is more related to higher limits |
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| Line 9: | Line 9: | ||
! 5-limit | ! 5-limit | ||
! 7-limit | ! 7-limit | ||
! 13-limit Extension<br>(Tending Flat) | |||
! 13-limit Extension<br>(Tending Sharp) | ! 13-limit Extension<br>(Tending Sharp) | ||
! Higher Limit Extension | ! Higher Limit Extension | ||
|- | |- | ||
| Line 23: | Line 23: | ||
| 2048/2025 | | 2048/2025 | ||
| 126/125 | | 126/125 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 32: | Line 32: | ||
| 81/80 | | 81/80 | ||
| 64/63 | | 64/63 | ||
| 55/54, 66/65, 78/77 | |||
| 56/55, 66/65, 78/77 | | 56/55, 66/65, 78/77 | ||
| 58/57, 69/68, 70/69, 76/75 | | 58/57, 69/68, 70/69, 76/75 | ||
|- | |- | ||
| Line 41: | Line 41: | ||
| 128/125 | | 128/125 | ||
| 49/48, 50/49 | | 49/48, 50/49 | ||
| 56/55 | |||
| 40/39, 45/44, 55/54 | | 40/39, 45/44, 55/54 | ||
| 46/45, 51/50, 57/56 | | 46/45, 51/50, 57/56 | ||
|- | |- | ||
| Line 50: | Line 50: | ||
| 250/243 | | 250/243 | ||
| 36/35 | | 36/35 | ||
| 33/32, 40/39, 45/44 | | 33/32, 40/39, 45/44 | ||
| | |||
| 35/34 | | 35/34 | ||
|- | |- | ||
| Line 59: | Line 59: | ||
| 648/625 | | 648/625 | ||
| 28/27 | | 28/27 | ||
| 26/25 | |||
| 27/26, 33/32 | | 27/26, 33/32 | ||
| 29/28, 30/29 | | 29/28, 30/29 | ||
|- | |- | ||
| Line 68: | Line 68: | ||
| 25/24 | | 25/24 | ||
| " | | " | ||
| 22/21, 27/26 | |||
| 26/25 | | 26/25 | ||
| (23/22), 24/23 | | (23/22), 24/23 | ||
|- | |- | ||
| Line 77: | Line 77: | ||
| 256/243 | | 256/243 | ||
| 21/20 | | 21/20 | ||
| | |||
| 22/21 | | 22/21 | ||
| 20/19 | | 20/19 | ||
|- | |- | ||
| Line 86: | Line 86: | ||
| 135/128 | | 135/128 | ||
| " | | " | ||
| | | | ||
| | | | ||
| 18/17, 19/18 | | 18/17, 19/18 | ||
|- | |- | ||
| Line 95: | Line 95: | ||
| 16/15 | | 16/15 | ||
| " | | " | ||
| | | | ||
| | | | ||
| '''17/16''' | | '''17/16''' | ||
|- | |- | ||
| Line 104: | Line 104: | ||
| 2187/2048 | | 2187/2048 | ||
| 15/14 | | 15/14 | ||
| | |||
| 14/13 | | 14/13 | ||
| 29/27 | | 29/27 | ||
|- | |- | ||
| Line 113: | Line 113: | ||
| 27/25 | | 27/25 | ||
| " | | " | ||
| 13/12, 14/13 | | 13/12, 14/13 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 122: | Line 122: | ||
| 625/576 | | 625/576 | ||
| 49/45 | | 49/45 | ||
| | |||
| 12/11, 13/12 | | 12/11, 13/12 | ||
| 25/23 | | 25/23 | ||
|- | |- | ||
| Line 131: | Line 131: | ||
| 800/729 | | 800/729 | ||
| 35/32 | | 35/32 | ||
| 11/10, 12/11 | | 11/10, 12/11 | ||
| | |||
| 23/21 | | 23/21 | ||
|- | |- | ||
| Line 140: | Line 140: | ||
| 1125/1024 | | 1125/1024 | ||
| 54/49 | | 54/49 | ||
| | |||
| 11/10 | | 11/10 | ||
| 21/19, '''32/29''' | | 21/19, '''32/29''' | ||
|- | |- | ||
| Line 149: | Line 149: | ||
| 10/9 | | 10/9 | ||
| " | | " | ||
| | | | ||
| | | | ||
| (29/26) | | (29/26) | ||
|- | |- | ||
| Line 158: | Line 158: | ||
| 4096/3645 | | 4096/3645 | ||
| 28/25 | | 28/25 | ||
| | | | ||
| | | | ||
| 19/17 | | 19/17 | ||
|- | |- | ||
| Line 167: | Line 167: | ||
| 9/8 | | 9/8 | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 176: | Line 176: | ||
| 256/225 | | 256/225 | ||
| 245/216 | | 245/216 | ||
| | |||
| 25/22 | | 25/22 | ||
| 17/15, (26/23) | | 17/15, (26/23) | ||
|- | |- | ||
| Line 185: | Line 185: | ||
| 729/640 | | 729/640 | ||
| '''8/7''' | | '''8/7''' | ||
| 25/22 | | 25/22 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 194: | Line 194: | ||
| 144/125 | | 144/125 | ||
| " | | " | ||
| | |||
| 15/13 | | 15/13 | ||
| 23/20 | | 23/20 | ||
|- | |- | ||
| Line 203: | Line 203: | ||
| 125/108 | | 125/108 | ||
| 81/70 | | 81/70 | ||
| 15/13 | | 15/13 | ||
| | |||
| (22/19) | | (22/19) | ||
|- | |- | ||
| Line 212: | Line 212: | ||
| 729/625 | | 729/625 | ||
| 7/6 | | 7/6 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 221: | Line 221: | ||
| 75/64 | | 75/64 | ||
| " | | " | ||
| 33/28 | | 33/28 | ||
| | |||
| 20/17, 27/23, 34/29 | | 20/17, 27/23, 34/29 | ||
|- | |- | ||
| Line 230: | Line 230: | ||
| 32/27 | | 32/27 | ||
| " | | " | ||
| 13/11 | |||
| 13/11, 33/28 | | 13/11, 33/28 | ||
| | | | ||
|- | |- | ||
| Line 239: | Line 239: | ||
| 1215/1024 | | 1215/1024 | ||
| 25/21 | | 25/21 | ||
| | | | ||
| | | | ||
| '''19/16''' | | '''19/16''' | ||
|- | |- | ||
| Line 248: | Line 248: | ||
| 6/5 | | 6/5 | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 257: | Line 257: | ||
| 3125/2592 | | 3125/2592 | ||
| 98/81 | | 98/81 | ||
| | |||
| 40/33 | | 40/33 | ||
| 23/19, 29/24 | | 23/19, 29/24 | ||
|- | |- | ||
| Line 266: | Line 266: | ||
| 243/200 | | 243/200 | ||
| 128/105 | | 128/105 | ||
| 11/9, 39/32, 40/33 | | 11/9, 39/32, 40/33 | ||
| | |||
| 17/14, 28/23 | | 17/14, 28/23 | ||
|- | |- | ||
| Line 275: | Line 275: | ||
| 625/512 | | 625/512 | ||
| 49/40, 60/49 | | 49/40, 60/49 | ||
| | |||
| 11/9, '''16/13''', 27/22, 39/32 | | 11/9, '''16/13''', 27/22, 39/32 | ||
| | | | ||
|- | |- | ||
| Line 284: | Line 284: | ||
| 100/81 | | 100/81 | ||
| " | | " | ||
| '''16/13''', 26/21, 27/22 | | '''16/13''', 26/21, 27/22 | ||
| | |||
| 21/17 | | 21/17 | ||
|- | |- | ||
| Line 293: | Line 293: | ||
| 3888/3125 | | 3888/3125 | ||
| 56/45 | | 56/45 | ||
| | |||
| 26/21 | | 26/21 | ||
| 36/29 | | 36/29 | ||
|- | |- | ||
| Line 302: | Line 302: | ||
| '''5/4''' | | '''5/4''' | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 311: | Line 311: | ||
| 512/405 | | 512/405 | ||
| 63/50 | | 63/50 | ||
| | | | ||
| | | | ||
| 24/19, 29/23 | | 24/19, 29/23 | ||
|- | |- | ||
| Line 320: | Line 320: | ||
| 81/64 | | 81/64 | ||
| 80/63 | | 80/63 | ||
| 33/26 | |||
| 14/11, 33/26 | | 14/11, 33/26 | ||
| 19/15 | | 19/15 | ||
|- | |- | ||
| Line 329: | Line 329: | ||
| 32/25 | | 32/25 | ||
| " | | " | ||
| 14/11 | | 14/11 | ||
| | |||
| 23/18 | | 23/18 | ||
|- | |- | ||
| Line 338: | Line 338: | ||
| 625/486 | | 625/486 | ||
| 9/7 | | 9/7 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 347: | Line 347: | ||
| 162/125 | | 162/125 | ||
| 35/27 | | 35/27 | ||
| 13/10 | | 13/10 | ||
| | |||
| (22/17) | | (22/17) | ||
|- | |- | ||
| Line 356: | Line 356: | ||
| 125/96 | | 125/96 | ||
| 64/49 | | 64/49 | ||
| | |||
| 13/10 | | 13/10 | ||
| (17/13), 30/23 | | (17/13), 30/23 | ||
|- | |- | ||
| Line 365: | Line 365: | ||
| 320/243 | | 320/243 | ||
| 21/16 | | 21/16 | ||
| 33/25 | | 33/25 | ||
| | |||
| (29/22), 38/29 | | (29/22), 38/29 | ||
|- | |- | ||
| Line 374: | Line 374: | ||
| 675/512 | | 675/512 | ||
| 250/189 | | 250/189 | ||
| | |||
| 33/25 | | 33/25 | ||
| | | | ||
|- | |- | ||
| Line 383: | Line 383: | ||
| '''4/3''' | | '''4/3''' | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 392: | Line 392: | ||
| 8192/6075 | | 8192/6075 | ||
| 75/56 | | 75/56 | ||
| | | | ||
| | | | ||
| 51/38 | | 51/38 | ||
|- | |- | ||
| Line 401: | Line 401: | ||
| 27/20 | | 27/20 | ||
| " | | " | ||
| | | | ||
| | | | ||
| 23/17 | | 23/17 | ||
|- | |- | ||
| Line 410: | Line 410: | ||
| 512/375 | | 512/375 | ||
| 49/36 | | 49/36 | ||
| | |||
| 15/11 | | 15/11 | ||
| | | | ||
|- | |- | ||
| Line 419: | Line 419: | ||
| 1000/729 | | 1000/729 | ||
| 48/35 | | 48/35 | ||
| '''11/8''', 15/11 | | '''11/8''', 15/11 | ||
| | |||
| (26/19) | | (26/19) | ||
|- | |- | ||
| Line 428: | Line 428: | ||
| 864/625 | | 864/625 | ||
| 112/81 | | 112/81 | ||
| | |||
| '''11/8''', 18/13 | | '''11/8''', 18/13 | ||
| 29/21, 40/29 | | 29/21, 40/29 | ||
|- | |- | ||
| Line 437: | Line 437: | ||
| 25/18 | | 25/18 | ||
| " | | " | ||
| 18/13 | | 18/13 | ||
| | |||
| '''32/23''' | | '''32/23''' | ||
|- | |- | ||
| Line 446: | Line 446: | ||
| 1024/729 | | 1024/729 | ||
| 7/5 | | 7/5 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 455: | Line 455: | ||
| 45/32 | | 45/32 | ||
| " | | " | ||
| | | | ||
| | | | ||
| 24/17, 38/27 | | 24/17, 38/27 | ||
|- | |- | ||
| Line 464: | Line 464: | ||
| 64/45 | | 64/45 | ||
| " | | " | ||
| | | | ||
| | | | ||
| 17/12, 27/19 | | 17/12, 27/19 | ||
|- | |- | ||
| Line 473: | Line 473: | ||
| 729/512 | | 729/512 | ||
| 10/7 | | 10/7 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 482: | Line 482: | ||
| 36/25 | | 36/25 | ||
| " | | " | ||
| 13/9 | | 13/9 | ||
| | |||
| '''23/16''' | | '''23/16''' | ||
|- | |- | ||
| Line 491: | Line 491: | ||
| 625/432 | | 625/432 | ||
| 81/56 | | 81/56 | ||
| | |||
| '''16/11''' | | '''16/11''' | ||
| 29/20, 42/29 | | 29/20, 42/29 | ||
|- | |- | ||
| Line 500: | Line 500: | ||
| 729/500 | | 729/500 | ||
| 35/24 | | 35/24 | ||
| '''16/11''', 22/15 | | '''16/11''', 22/15 | ||
| | |||
| (19/13) | | (19/13) | ||
|- | |- | ||
| Line 509: | Line 509: | ||
| 375/256 | | 375/256 | ||
| 72/49 | | 72/49 | ||
| | |||
| 22/15 | | 22/15 | ||
| | | | ||
|- | |- | ||
| Line 518: | Line 518: | ||
| 40/27 | | 40/27 | ||
| " | | " | ||
| | | | ||
| | | | ||
| 34/23 | | 34/23 | ||
|- | |- | ||
| Line 527: | Line 527: | ||
| 6075/4096 | | 6075/4096 | ||
| 112/75 | | 112/75 | ||
| | | | ||
| | | | ||
| 76/51 | | 76/51 | ||
|- | |- | ||
| Line 536: | Line 536: | ||
| '''3/2''' | | '''3/2''' | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 545: | Line 545: | ||
| 1024/675 | | 1024/675 | ||
| 189/125 | | 189/125 | ||
| | |||
| 50/33 | | 50/33 | ||
| | | | ||
|- | |- | ||
| Line 554: | Line 554: | ||
| 243/160 | | 243/160 | ||
| 32/21 | | 32/21 | ||
| 50/33 | | 50/33 | ||
| | |||
| 29/19, (44/29) | | 29/19, (44/29) | ||
|- | |- | ||
| Line 563: | Line 563: | ||
| 192/125 | | 192/125 | ||
| 49/32 | | 49/32 | ||
| | |||
| 20/13 | | 20/13 | ||
| 23/15, (26/17) | | 23/15, (26/17) | ||
|- | |- | ||
| Line 572: | Line 572: | ||
| 125/81 | | 125/81 | ||
| 54/35 | | 54/35 | ||
| 20/13 | | 20/13 | ||
| | |||
| (17/11) | | (17/11) | ||
|- | |- | ||
| Line 581: | Line 581: | ||
| 972/625 | | 972/625 | ||
| 14/9 | | 14/9 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 590: | Line 590: | ||
| 25/16 | | 25/16 | ||
| " | | " | ||
| 11/7 | | 11/7 | ||
| | |||
| 36/23 | | 36/23 | ||
|- | |- | ||
| Line 599: | Line 599: | ||
| 128/81 | | 128/81 | ||
| 63/40 | | 63/40 | ||
| 52/33 | |||
| 11/7, 52/33 | | 11/7, 52/33 | ||
| | | | ||
|- | |- | ||
| Line 608: | Line 608: | ||
| 405/256 | | 405/256 | ||
| 100/63 | | 100/63 | ||
| | | | ||
| | | | ||
| 27/17, 46/29 | | 27/17, 46/29 | ||
|- | |- | ||
| Line 617: | Line 617: | ||
| '''8/5''' | | '''8/5''' | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 626: | Line 626: | ||
| 3125/1944 | | 3125/1944 | ||
| 45/28 | | 45/28 | ||
| | |||
| 21/13 | | 21/13 | ||
| 29/18 | | 29/18 | ||
|- | |- | ||
| Line 635: | Line 635: | ||
| 81/50 | | 81/50 | ||
| " | | " | ||
| '''13/8''', 21/13, 44/27 | | '''13/8''', 21/13, 44/27 | ||
| | |||
| 34/21 | | 34/21 | ||
|- | |- | ||
| Line 644: | Line 644: | ||
| 625/384 | | 625/384 | ||
| 49/30, 80/49 | | 49/30, 80/49 | ||
| | |||
| '''13/8''', 18/11, 44/27, 64/39 | | '''13/8''', 18/11, 44/27, 64/39 | ||
| | | | ||
|- | |- | ||
| Line 653: | Line 653: | ||
| 400/243 | | 400/243 | ||
| 105/64 | | 105/64 | ||
| 18/11, 33/20, 64/39 | | 18/11, 33/20, 64/39 | ||
| | |||
| 28/17, 23/14 | | 28/17, 23/14 | ||
|- | |- | ||
| Line 662: | Line 662: | ||
| 3375/2048 | | 3375/2048 | ||
| 81/49 | | 81/49 | ||
| | |||
| 33/20 | | 33/20 | ||
| 38/23, 48/29 | | 38/23, 48/29 | ||
|- | |- | ||
| Line 671: | Line 671: | ||
| 5/3 | | 5/3 | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 680: | Line 680: | ||
| 2048/1215 | | 2048/1215 | ||
| 42/25 | | 42/25 | ||
| | | | ||
| | | | ||
| '''32/19''' | | '''32/19''' | ||
|- | |- | ||
| Line 689: | Line 689: | ||
| 27/16 | | 27/16 | ||
| " | | " | ||
| 22/13 | |||
| 22/13, 56/33 | | 22/13, 56/33 | ||
| | | | ||
|- | |- | ||
| Line 698: | Line 698: | ||
| 128/75 | | 128/75 | ||
| " | | " | ||
| 56/33 | | 56/33 | ||
| | |||
| 17/10, 29/17, 46/27 | | 17/10, 29/17, 46/27 | ||
|- | |- | ||
| Line 707: | Line 707: | ||
| 1250/729 | | 1250/729 | ||
| 12/7 | | 12/7 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 716: | Line 716: | ||
| 216/125 | | 216/125 | ||
| 140/81 | | 140/81 | ||
| 26/15 | | 26/15 | ||
| | |||
| (19/11) | | (19/11) | ||
|- | |- | ||
| Line 725: | Line 725: | ||
| 125/72 | | 125/72 | ||
| 26/15 | | 26/15 | ||
| | | | ||
| | | | ||
| 40/23 | | 40/23 | ||
|- | |- | ||
| Line 734: | Line 734: | ||
| 1280/729 | | 1280/729 | ||
| '''7/4''' | | '''7/4''' | ||
| 44/25 | | 44/25 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 743: | Line 743: | ||
| 225/128 | | 225/128 | ||
| " | | " | ||
| | |||
| 44/25 | | 44/25 | ||
| (23/13), 30/17 | | (23/13), 30/17 | ||
|- | |- | ||
| Line 752: | Line 752: | ||
| 16/9 | | 16/9 | ||
| " | | " | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
| Line 761: | Line 761: | ||
| 3645/2048 | | 3645/2048 | ||
| 25/14 | | 25/14 | ||
| | | | ||
| | | | ||
| 34/19 | | 34/19 | ||
|- | |- | ||
| Line 770: | Line 770: | ||
| 9/5 | | 9/5 | ||
| " | | " | ||
| | | | ||
| | | | ||
| (52/29) | | (52/29) | ||
|- | |- | ||
| Line 779: | Line 779: | ||
| 2048/1125 | | 2048/1125 | ||
| 49/27 | | 49/27 | ||
| | |||
| 20/11 | | 20/11 | ||
| '''29/16''' | | '''29/16''' | ||
|- | |- | ||
| Line 788: | Line 788: | ||
| 729/400 | | 729/400 | ||
| 64/35 | | 64/35 | ||
| 11/6, 20/11 | | 11/6, 20/11 | ||
| | |||
| 42/23 | | 42/23 | ||
|- | |- | ||
| Line 797: | Line 797: | ||
| 1152/625 | | 1152/625 | ||
| 90/49 | | 90/49 | ||
| | |||
| 11/6, 24/13 | | 11/6, 24/13 | ||
| 46/25 | | 46/25 | ||
|- | |- | ||
| Line 806: | Line 806: | ||
| 50/27 | | 50/27 | ||
| " | | " | ||
| 13/7, 24/13 | | 13/7, 24/13 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 815: | Line 815: | ||
| 4096/2187 | | 4096/2187 | ||
| 28/15 | | 28/15 | ||
| | |||
| 13/7 | | 13/7 | ||
| 54/29 | | 54/29 | ||
|- | |- | ||
| Line 824: | Line 824: | ||
| 15/8 | | 15/8 | ||
| " | | " | ||
| | | | ||
| | | | ||
| '''32/17''' | | '''32/17''' | ||
|- | |- | ||
| Line 833: | Line 833: | ||
| 256/135 | | 256/135 | ||
| 189/100 | | 189/100 | ||
| | | | ||
| | | | ||
| 17/9, 36/19 | | 17/9, 36/19 | ||
|- | |- | ||
| Line 842: | Line 842: | ||
| 243/128 | | 243/128 | ||
| 40/21 | | 40/21 | ||
| | | | ||
| | | | ||
| 19/10 | | 19/10 | ||
|- | |- | ||
| Line 851: | Line 851: | ||
| 48/25 | | 48/25 | ||
| " | | " | ||
| 52/27 | |||
| 25/13 | | 25/13 | ||
| 23/12, (44/23) | | 23/12, (44/23) | ||
|- | |- | ||
| Line 860: | Line 860: | ||
| 625/324 | | 625/324 | ||
| 27/14 | | 27/14 | ||
| 25/13 | |||
| 52/27, 64/33 | | 52/27, 64/33 | ||
| 29/15, 56/29 | | 29/15, 56/29 | ||
|- | |- | ||
| Line 869: | Line 869: | ||
| 243/125 | | 243/125 | ||
| 35/18 | | 35/18 | ||
| 39/20, 64/33, 88/45 | | 39/20, 64/33, 88/45 | ||
| | |||
| | | | ||
|- | |- | ||
| Line 878: | Line 878: | ||
| 125/64 | | 125/64 | ||
| 49/25, 96/49 | | 49/25, 96/49 | ||
| 55/28 | |||
| 39/20, 88/45, 108/55 | | 39/20, 88/45, 108/55 | ||
| 45/23, 100/51, 112/57 | | 45/23, 100/51, 112/57 | ||
|- | |- | ||
| Line 887: | Line 887: | ||
| 160/81 | | 160/81 | ||
| 63/32 | | 63/32 | ||
| 65/33, 77/39, 108/55 | |||
| 55/28, 65/33, 77/39 | | 55/28, 65/33, 77/39 | ||
| 57/29, 69/35, 75/38, 136/69 | | 57/29, 69/35, 75/38, 136/69 | ||
|- | |- | ||
| Line 896: | Line 896: | ||
| 2025/1024 | | 2025/1024 | ||
| 125/63 | | 125/63 | ||
| | | | ||
| | | | ||
| | | | ||
|- | |- | ||
Latest revision as of 19:43, 27 May 2026
This table of 99edo intervals assumes the 99ef val ⟨99 157 230 278 343 367 405 421 448 481] as tending sharp and 99 patent val ⟨99 157 230 278 342 366 405 421 448 481] as tending flat. Prime harmonics and subharmonics are labeled in bold. The higher-limit extension works best with the sharp mappings of 11 and 13, and higher-limit ratios that include 11 and 13 using these mappings are marked with parentheses.
| # | Cents | Marks | 5-limit | 7-limit | 13-limit Extension (Tending Flat) |
13-limit Extension (Tending Sharp) |
Higher Limit Extension |
|---|---|---|---|---|---|---|---|
| 0 | 0.00 | P1 | 1/1 | ||||
| 1 | 12.12 | 2048/2025 | 126/125 | ||||
| 2 | 24.24 | 81/80 | 64/63 | 55/54, 66/65, 78/77 | 56/55, 66/65, 78/77 | 58/57, 69/68, 70/69, 76/75 | |
| 3 | 36.36 | 128/125 | 49/48, 50/49 | 56/55 | 40/39, 45/44, 55/54 | 46/45, 51/50, 57/56 | |
| 4 | 48.48 | 250/243 | 36/35 | 33/32, 40/39, 45/44 | 35/34 | ||
| 5 | 60.60 | 648/625 | 28/27 | 26/25 | 27/26, 33/32 | 29/28, 30/29 | |
| 6 | 72.72 | 25/24 | " | 22/21, 27/26 | 26/25 | (23/22), 24/23 | |
| 7 | 84.84 | m2 | 256/243 | 21/20 | 22/21 | 20/19 | |
| 8 | 96.96 | 135/128 | " | 18/17, 19/18 | |||
| 9 | 109.09 | 16/15 | " | 17/16 | |||
| 10 | 121.21 | 2187/2048 | 15/14 | 14/13 | 29/27 | ||
| 11 | 133.33 | 27/25 | " | 13/12, 14/13 | |||
| 12 | 145.45 | 625/576 | 49/45 | 12/11, 13/12 | 25/23 | ||
| 13 | 157.57 | 800/729 | 35/32 | 11/10, 12/11 | 23/21 | ||
| 14 | 169.69 | 1125/1024 | 54/49 | 11/10 | 21/19, 32/29 | ||
| 15 | 181.81 | 10/9 | " | (29/26) | |||
| 16 | 193.93 | 4096/3645 | 28/25 | 19/17 | |||
| 17 | 206.06 | M2 | 9/8 | " | |||
| 18 | 218.18 | 256/225 | 245/216 | 25/22 | 17/15, (26/23) | ||
| 19 | 230.30 | 729/640 | 8/7 | 25/22 | |||
| 20 | 242.42 | 144/125 | " | 15/13 | 23/20 | ||
| 21 | 254.54 | 125/108 | 81/70 | 15/13 | (22/19) | ||
| 22 | 266.66 | 729/625 | 7/6 | ||||
| 23 | 278.78 | 75/64 | " | 33/28 | 20/17, 27/23, 34/29 | ||
| 24 | 290.90 | m3 | 32/27 | " | 13/11 | 13/11, 33/28 | |
| 25 | 303.03 | 1215/1024 | 25/21 | 19/16 | |||
| 26 | 315.15 | 6/5 | " | ||||
| 27 | 327.27 | 3125/2592 | 98/81 | 40/33 | 23/19, 29/24 | ||
| 28 | 339.39 | 243/200 | 128/105 | 11/9, 39/32, 40/33 | 17/14, 28/23 | ||
| 29 | 351.51 | 625/512 | 49/40, 60/49 | 11/9, 16/13, 27/22, 39/32 | |||
| 30 | 363.63 | 100/81 | " | 16/13, 26/21, 27/22 | 21/17 | ||
| 31 | 375.75 | 3888/3125 | 56/45 | 26/21 | 36/29 | ||
| 32 | 387.87 | 5/4 | " | ||||
| 33 | 400.00 | 512/405 | 63/50 | 24/19, 29/23 | |||
| 34 | 412.12 | M3 | 81/64 | 80/63 | 33/26 | 14/11, 33/26 | 19/15 |
| 35 | 424.24 | 32/25 | " | 14/11 | 23/18 | ||
| 36 | 436.36 | 625/486 | 9/7 | ||||
| 37 | 448.48 | 162/125 | 35/27 | 13/10 | (22/17) | ||
| 38 | 460.60 | 125/96 | 64/49 | 13/10 | (17/13), 30/23 | ||
| 39 | 472.72 | 320/243 | 21/16 | 33/25 | (29/22), 38/29 | ||
| 40 | 484.84 | 675/512 | 250/189 | 33/25 | |||
| 41 | 496.96 | P4 | 4/3 | " | |||
| 42 | 509.09 | 8192/6075 | 75/56 | 51/38 | |||
| 43 | 521.21 | 27/20 | " | 23/17 | |||
| 44 | 533.33 | 512/375 | 49/36 | 15/11 | |||
| 45 | 545.45 | 1000/729 | 48/35 | 11/8, 15/11 | (26/19) | ||
| 46 | 557.57 | 864/625 | 112/81 | 11/8, 18/13 | 29/21, 40/29 | ||
| 47 | 569.69 | 25/18 | " | 18/13 | 32/23 | ||
| 48 | 581.81 | d5 | 1024/729 | 7/5 | |||
| 49 | 593.93 | 45/32 | " | 24/17, 38/27 | |||
| 50 | 606.06 | 64/45 | " | 17/12, 27/19 | |||
| 51 | 618.18 | A4 | 729/512 | 10/7 | |||
| 52 | 630.30 | 36/25 | " | 13/9 | 23/16 | ||
| 53 | 642.42 | 625/432 | 81/56 | 16/11 | 29/20, 42/29 | ||
| 54 | 654.54 | 729/500 | 35/24 | 16/11, 22/15 | (19/13) | ||
| 55 | 666.66 | 375/256 | 72/49 | 22/15 | |||
| 56 | 678.78 | 40/27 | " | 34/23 | |||
| 57 | 690.90 | 6075/4096 | 112/75 | 76/51 | |||
| 58 | 703.03 | P5 | 3/2 | " | |||
| 59 | 715.15 | 1024/675 | 189/125 | 50/33 | |||
| 60 | 727.27 | 243/160 | 32/21 | 50/33 | 29/19, (44/29) | ||
| 61 | 739.39 | 192/125 | 49/32 | 20/13 | 23/15, (26/17) | ||
| 62 | 751.51 | 125/81 | 54/35 | 20/13 | (17/11) | ||
| 63 | 763.63 | 972/625 | 14/9 | ||||
| 64 | 775.75 | 25/16 | " | 11/7 | 36/23 | ||
| 65 | 787.87 | m6 | 128/81 | 63/40 | 52/33 | 11/7, 52/33 | |
| 66 | 800.00 | 405/256 | 100/63 | 27/17, 46/29 | |||
| 67 | 812.12 | 8/5 | " | ||||
| 68 | 824.24 | 3125/1944 | 45/28 | 21/13 | 29/18 | ||
| 69 | 836.36 | 81/50 | " | 13/8, 21/13, 44/27 | 34/21 | ||
| 70 | 848.48 | 625/384 | 49/30, 80/49 | 13/8, 18/11, 44/27, 64/39 | |||
| 71 | 860.60 | 400/243 | 105/64 | 18/11, 33/20, 64/39 | 28/17, 23/14 | ||
| 72 | 872.72 | 3375/2048 | 81/49 | 33/20 | 38/23, 48/29 | ||
| 73 | 884.84 | 5/3 | " | ||||
| 74 | 896.96 | 2048/1215 | 42/25 | 32/19 | |||
| 75 | 909.09 | M6 | 27/16 | " | 22/13 | 22/13, 56/33 | |
| 76 | 921.21 | 128/75 | " | 56/33 | 17/10, 29/17, 46/27 | ||
| 77 | 933.33 | 1250/729 | 12/7 | ||||
| 78 | 945.45 | 216/125 | 140/81 | 26/15 | (19/11) | ||
| 79 | 957.57 | 125/72 | 26/15 | 40/23 | |||
| 80 | 969.69 | 1280/729 | 7/4 | 44/25 | |||
| 81 | 981.81 | 225/128 | " | 44/25 | (23/13), 30/17 | ||
| 82 | 993.93 | m7 | 16/9 | " | |||
| 83 | 1006.06 | 3645/2048 | 25/14 | 34/19 | |||
| 84 | 1018.18 | 9/5 | " | (52/29) | |||
| 85 | 1030.30 | 2048/1125 | 49/27 | 20/11 | 29/16 | ||
| 86 | 1042.42 | 729/400 | 64/35 | 11/6, 20/11 | 42/23 | ||
| 87 | 1054.54 | 1152/625 | 90/49 | 11/6, 24/13 | 46/25 | ||
| 88 | 1066.66 | 50/27 | " | 13/7, 24/13 | |||
| 89 | 1078.78 | 4096/2187 | 28/15 | 13/7 | 54/29 | ||
| 90 | 1090.90 | 15/8 | " | 32/17 | |||
| 91 | 1103.03 | 256/135 | 189/100 | 17/9, 36/19 | |||
| 92 | 1115.15 | M7 | 243/128 | 40/21 | 19/10 | ||
| 93 | 1127.27 | 48/25 | " | 52/27 | 25/13 | 23/12, (44/23) | |
| 94 | 1139.39 | 625/324 | 27/14 | 25/13 | 52/27, 64/33 | 29/15, 56/29 | |
| 95 | 1151.51 | 243/125 | 35/18 | 39/20, 64/33, 88/45 | |||
| 96 | 1163.63 | 125/64 | 49/25, 96/49 | 55/28 | 39/20, 88/45, 108/55 | 45/23, 100/51, 112/57 | |
| 97 | 1175.75 | 160/81 | 63/32 | 65/33, 77/39, 108/55 | 55/28, 65/33, 77/39 | 57/29, 69/35, 75/38, 136/69 | |
| 98 | 1187.87 | 2025/1024 | 125/63 | ||||
| 99 | 1200.00 | P8 | 2/1 | ||||